Question 9 Evaluate $$ \left(-\frac{5}{6}\right)^{2} $$. Question Help: $$ \square $$ Video $$ \square $$ Message Submit Question

Question

UpStudy AI · Accepted Answer

To evaluate $$ \left(-\frac{5}{6}\right)^{2} $$, follow these steps:

### Step 1: Understand the Expression
You have a fraction raised to the power of 2:
$$
\left(-\frac{5}{6}\right)^{2}
$$
This means you will multiply the fraction by itself.

### Step 2: Apply the Exponent to Both the Numerator and the Denominator
When raising a fraction to a power, apply the exponent to both the numerator and the denominator separately:
$$
\left(\frac{-5}{6}\right)^{2} = \frac{(-5)^{2}}{6^{2}}
$$

### Step 3: Calculate the Squares
- Square the numerator: $$(-5)^{2} = 25$$
- Square the denominator: $$6^{2} = 36$$

So now you have:
$$
\frac{25}{36}
$$

### Step 4: Simplify (if necessary)
In this case, $$ \frac{25}{36} $$ is already in its simplest form since 25 and 36 have no common factors other than 1.

### Final Answer
$$
\left(-\frac{5}{6}\right)^{2} = \frac{25}{36}
$$
$$ \left(-\frac{5}{6}\right)^{2} = \frac{25}{36} $$

Question 9 Evaluate \( \left(-\frac{5}{6}\right)^{2} \). Question Help: \( \square \) Video \( \square \) Message Submit Question

Solución de tutoría real

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Arithmetic Questions